Details

analyze667.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

sample26.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify197.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	1852	11
1	1852	11

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.0b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`associate-/r/` `frac-sub`
1×	`cbrt-undiv` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 86

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
20.0ms	(- (/ y z) (/ t (- 1.0 z)))
21.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ t (- 1.0 z))
8.0ms	(- (/ y z) (/ t (- 1.0 z)))
15.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5153	1120

prune158.0ms

Filtered

71 candidates to 95 candidates (-33.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	82	13	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	13	96

Merged error: 1.3b

Counts

96 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b	(/ 1 (- 1.0 z))
0.1b	(* t (/ 1 (- 1.0 z)))
4.0b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`distribute-rgt-in` `pow-flip` `frac-2neg` `distribute-lft-in` `diff-log` `clear-num` `inv-pow`

Counts

4 → 122

Calls

4 calls:

6.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
5.0ms	(/ 1 (- 1.0 z))
11.0ms	(* t (/ 1 (- 1.0 z)))
8.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series30.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
2.0ms	(/ 1 (- 1.0 z))
5.0ms	(* t (/ 1 (- 1.0 z)))
15.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5424	1298

prune169.0ms

Filtered

89 candidates to 134 candidates (-50.6%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	134	13	147

Merged error: 1.3b

Counts

147 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.9b	(/ 1 (/ (- 1.0 z) t))
4.0b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
170×	`times-frac`
126×	`*-un-lft-identity`
72×	`add-cube-cbrt`
36×	`difference-of-squares`
22×	`associate-/r*` `distribute-lft-out--`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l*` `flip--`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `frac-sub` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

5.0ms	(/ (- 1.0 z) t)
41.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
8.0ms	(/ 1 (/ (- 1.0 z) t))
43.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series36.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (- 1.0 z) t)
8.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
5.0ms	(/ 1 (/ (- 1.0 z) t))
19.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

211 → 211

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5064	2568

prune256.0ms

Filtered

135 candidates to 211 candidates (-56.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	208	3	211
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	210	14	224

Merged error: 1.3b

Counts

224 → 14

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.3b	(* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))
2.9b	(* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
18×	`pow1` `add-exp-log`
11×	`associate-l` `add-cbrt-cube`
10×	`cbrt-prod`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`times-frac`
7×	`associate-r`
6×	`associate-*l/`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`associate-*r/`
2×	`flip3--` `pow1/3` `*-commutative` `frac-sub` `flip--` `unswap-sqr`

Counts

4 → 79

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
25.0ms	(* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))
26.0ms	(* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x)))

series99.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
24.0ms	(cbrt x)
35.0ms	(* (- (/ y z) (/ t (- 1.0 z))) (cbrt x))
19.0ms	(* (* (cbrt x) (cbrt x)) (* (- (/ y z) (/ t (- 1.0 z))) (cbrt x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4931	978
1	4931	978

prune91.0ms

Filtered

62 candidates to 91 candidates (-46.8%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	6	5	11
Picked	1	0	1
Done	0	2	2
Total	94	11	105

Merged error: 0.1b

Counts

105 → 11

regimes623.0ms

Accuracy

75% (1.1b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 4.8b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	121	55
1	121	55

end0.0ms

sample598.0ms

Algorithm

intervals

Results

292.0ms	8000×	body	80	valid
64.0ms	1734×	body	80	invalid

Details

analyze667.0ms

sample26.0ms

simplify197.0ms

prune6.0ms

localize8.0ms

rewrite49.0ms

series28.0ms

simplify46.0ms

prune158.0ms

localize9.0ms

rewrite35.0ms

series30.0ms

simplify52.0ms

prune169.0ms

localize11.0ms

rewrite106.0ms

series36.0ms

simplify57.0ms

prune256.0ms

localize12.0ms

rewrite56.0ms

series99.0ms

simplify61.0ms

prune91.0ms

regimes623.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample598.0ms

Profiling